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Finding the Fourth Proportional to 240.78, 330.72 and 201.90

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Solution

The fourth proportional to 240.78, 330.72 and 201.90 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.78 : 330.72 = 201.90 : x
  2. Step 2: Convert to fraction form
    240.78/330.72 = 201.90/x
  3. Step 3: Cross multiply
    240.78x = 330.72 × 201.90
  4. Step 4: Simplify right side
    240.78x = 66,772.37
  5. Step 5: Solve for x
    x = 66,772.37/240.78
  6. Step 6: Final answer
    x = 277.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.